(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1) A 10.0-g object moving to the right at 20 cm/s makes an elastic head-on collision with a 15.0-g object moving in the opposite direction at 30.0 cm/s. Find the velocity of each object after collision.

2. Relevant equations

m[tex]_{1}[/tex]v[tex]_{i1}[/tex] + m[tex]_{2}[/tex]v[tex]_{i2}[/tex] = m[tex]_{1}[/tex]v[tex]_{f1}[/tex] + m[tex]_{2}[/tex]v[tex]_{f2}[/tex]

(.5)m[tex]_{1}[/tex]v[tex]_{1i}[/tex][tex]^{2}[/tex] + .(5)m[tex]_{2}[/tex]v[tex]_{2i}[/tex][tex]^{2}[/tex] = (.5)m[tex]_{1}[/tex]v[tex]_{1f}[/tex][tex]^{2}[/tex] + .(5)m[tex]_{2}[/tex]v[tex]_{2f}[/tex][tex]^{2}[/tex]

3. The attempt at a solution

I plugged values into the equations and got...

(.01)(.2) + (.015)(-.3) = (.01)(v[tex]_{f1}[/tex]) + (.015)(v[tex]_{f2}[/tex])

(.5)(.01)(.2^2) + (.5)(.015)(-.3^2) = (.5)(.01)(v[tex]_{f1}[/tex][tex]^{2}[/tex]) + (.5)(.015)(v[tex]_{f2}[/tex][tex]^{2}[/tex])

But I'm still stuck with two variables. How do I solve one of them?

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# Collision Problem

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